Results 1 to 10 of about 6,379 (306)

A Coding Theorem for f-Separable Distortion Measures [PDF]

open access: yesEntropy, 2018
In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties.
Yanina Shkel, Sergio Verdú
doaj   +6 more sources

A note on the distortion theorem

open access: yesActa Crystallographica Section B: Structural Science, Crystal Engineering and Materials, 2017
The distortion theorem is a conditional statement that establishes the certain relations between the variation of the mean bond length and the variation of the valence of a central ion of a coordination polyhedron.
Maximilian S Nickolsky
exaly   +4 more sources

A sharp form of the Ahlfors’ distortion theorem, with applications [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
The constant appearing in the asymptotic version of the Ahlfors’ distortion theorem is 1 1 . Also it is shown that for mean 1 1 -valent functions f = z + a
D. H. Hamilton
core   +3 more sources

Distortion Theorems for Diffeomorphisms

open access: yesCanadian Mathematical Bulletin, 1994
Generalizations of the Koebe distortion theorem to a class of diffeomorphisms are given. They are applied to univalent harmonic mappings.
D. Poulin, W. Hengartner
core   +2 more sources

Quantum Rate Distortion, Reverse Shannon Theorems, and Source-Channel Separation

open access: yesIEEE Transactions on Information Theory, 2013
We derive quantum counterparts of two key theorems of classical information theory, namely, the rate-distortion theorem and the source-channel separation theorem.
Min-Hsiu Hsieh, Mark M Wilde
exaly   +3 more sources

ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2011
In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
doaj   +1 more source

Distortion theorems for Bloch functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1992
We establish various distortion theorems for both normalized locally schlicht Bloch functions and normalized Bloch function with branch points. These distortion theorems give lower bounds on either
Liu, Xiangyang, Minda, David
openaire   +1 more source

The optimality of James’s distortion theorems [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
A renorming of ℓ 1
Dowling, P. N.   +3 more
openaire   +1 more source

On Some Classes of Harmonic Functions Associated with the Janowski Function

open access: yesMathematics, 2023
In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means of subordination, the analytic parts of which are reciprocal starlike (or convex) functions.
Lina Ma, Shuhai Li, Huo Tang
doaj   +1 more source

On q-analogue of Janowski-type starlike functions with respect to symmetric points

open access: yesDemonstratio Mathematica, 2021
The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article.
Khan Muhammad Ghaffar   +4 more
doaj   +1 more source

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